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<div class="subTitle">org.apache.commons.math3.stat.descriptive.moment</div>
<h2 title="Class SecondMoment" class="title">Class SecondMoment</h2>
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<li><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">java.lang.Object</a></li>
<li>
<ul class="inheritance">
<li><a href="../../../../../../../org/apache/commons/math3/stat/descriptive/AbstractUnivariateStatistic.html" title="class in org.apache.commons.math3.stat.descriptive">org.apache.commons.math3.stat.descriptive.AbstractUnivariateStatistic</a></li>
<li>
<ul class="inheritance">
<li><a href="../../../../../../../org/apache/commons/math3/stat/descriptive/AbstractStorelessUnivariateStatistic.html" title="class in org.apache.commons.math3.stat.descriptive">org.apache.commons.math3.stat.descriptive.AbstractStorelessUnivariateStatistic</a></li>
<li>
<ul class="inheritance">
<li>org.apache.commons.math3.stat.descriptive.moment.SecondMoment</li>
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<dt>All Implemented Interfaces:</dt>
<dd><a href="http://docs.oracle.com/javase/7/docs/api/java/io/Serializable.html?is-external=true" title="class or interface in java.io">Serializable</a>, <a href="../../../../../../../org/apache/commons/math3/stat/descriptive/StorelessUnivariateStatistic.html" title="interface in org.apache.commons.math3.stat.descriptive">StorelessUnivariateStatistic</a>, <a href="../../../../../../../org/apache/commons/math3/stat/descriptive/UnivariateStatistic.html" title="interface in org.apache.commons.math3.stat.descriptive">UnivariateStatistic</a>, <a href="../../../../../../../org/apache/commons/math3/util/MathArrays.Function.html" title="interface in org.apache.commons.math3.util">MathArrays.Function</a></dd>
</dl>
<hr>
<br>
<pre>public class <span class="strong">SecondMoment</span>
extends <a href="../../../../../../../org/apache/commons/math3/stat/descriptive/AbstractStorelessUnivariateStatistic.html" title="class in org.apache.commons.math3.stat.descriptive">AbstractStorelessUnivariateStatistic</a>
implements <a href="http://docs.oracle.com/javase/7/docs/api/java/io/Serializable.html?is-external=true" title="class or interface in java.io">Serializable</a></pre>
<div class="block">Computes a statistic related to the Second Central Moment.  Specifically,
 what is computed is the sum of squared deviations from the sample mean.
 <p>
 The following recursive updating formula is used:</p>
 <p>
 Let <ul>
 <li> dev = (current obs - previous mean) </li>
 <li> n = number of observations (including current obs) </li>
 </ul>
 Then</p>
 <p>
 new value = old value + dev^2 * (n -1) / n.</p>
 <p>
 Returns <code>Double.NaN</code> if no data values have been added and
 returns <code>0</code> if there is just one value in the data set.
 Note that Double.NaN may also be returned if the input includes NaN
 and / or infinite values.</p>
 <p>
 <strong>Note that this implementation is not synchronized.</strong> If
 multiple threads access an instance of this class concurrently, and at least
 one of the threads invokes the <code>increment()</code> or
 <code>clear()</code> method, it must be synchronized externally.</p></div>
<dl><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../../serialized-form.html#org.apache.commons.math3.stat.descriptive.moment.SecondMoment">Serialized Form</a></dd></dl>
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<h3>Field Summary</h3>
<table class="overviewSummary" border="0" cellpadding="3" cellspacing="0" summary="Field Summary table, listing fields, and an explanation">
<caption><span>Fields</span><span class="tabEnd">&nbsp;</span></caption>
<tr>
<th class="colFirst" scope="col">Modifier and Type</th>
<th class="colLast" scope="col">Field and Description</th>
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<tr class="altColor">
<td class="colFirst"><code>protected double</code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/stat/descriptive/moment/SecondMoment.html#dev">dev</a></strong></code>
<div class="block">Deviation of most recently added value from previous first moment.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>protected double</code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/stat/descriptive/moment/SecondMoment.html#m1">m1</a></strong></code>
<div class="block">First moment of values that have been added</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>protected double</code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/stat/descriptive/moment/SecondMoment.html#m2">m2</a></strong></code>
<div class="block">second moment of values that have been added</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>protected long</code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/stat/descriptive/moment/SecondMoment.html#n">n</a></strong></code>
<div class="block">Count of values that have been added</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>protected double</code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/stat/descriptive/moment/SecondMoment.html#nDev">nDev</a></strong></code>
<div class="block">Deviation of most recently added value from previous first moment,
 normalized by previous sample size.</div>
</td>
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</table>
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<h3>Constructor Summary</h3>
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<caption><span>Constructors</span><span class="tabEnd">&nbsp;</span></caption>
<tr>
<th class="colOne" scope="col">Constructor and Description</th>
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<td class="colOne"><code><strong><a href="../../../../../../../org/apache/commons/math3/stat/descriptive/moment/SecondMoment.html#SecondMoment()">SecondMoment</a></strong>()</code>
<div class="block">Create a SecondMoment instance</div>
</td>
</tr>
<tr class="rowColor">
<td class="colOne"><code><strong><a href="../../../../../../../org/apache/commons/math3/stat/descriptive/moment/SecondMoment.html#SecondMoment(org.apache.commons.math3.stat.descriptive.moment.SecondMoment)">SecondMoment</a></strong>(<a href="../../../../../../../org/apache/commons/math3/stat/descriptive/moment/SecondMoment.html" title="class in org.apache.commons.math3.stat.descriptive.moment">SecondMoment</a>&nbsp;original)</code>
<div class="block">Copy constructor, creates a new <code>SecondMoment</code> identical
 to the <code>original</code></div>
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<h3>Method Summary</h3>
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<caption><span>Methods</span><span class="tabEnd">&nbsp;</span></caption>
<tr>
<th class="colFirst" scope="col">Modifier and Type</th>
<th class="colLast" scope="col">Method and Description</th>
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<td class="colFirst"><code>void</code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/stat/descriptive/moment/SecondMoment.html#clear()">clear</a></strong>()</code>
<div class="block">Clears the internal state of the Statistic</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code><a href="../../../../../../../org/apache/commons/math3/stat/descriptive/moment/SecondMoment.html" title="class in org.apache.commons.math3.stat.descriptive.moment">SecondMoment</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/stat/descriptive/moment/SecondMoment.html#copy()">copy</a></strong>()</code>
<div class="block">Returns a copy of the statistic with the same internal state.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static void</code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/stat/descriptive/moment/SecondMoment.html#copy(org.apache.commons.math3.stat.descriptive.moment.FirstMoment,%20org.apache.commons.math3.stat.descriptive.moment.FirstMoment)">copy</a></strong>(org.apache.commons.math3.stat.descriptive.moment.FirstMoment&nbsp;source,
    org.apache.commons.math3.stat.descriptive.moment.FirstMoment&nbsp;dest)</code>
<div class="block">Copies source to dest.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static void</code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/stat/descriptive/moment/SecondMoment.html#copy(org.apache.commons.math3.stat.descriptive.moment.SecondMoment,%20org.apache.commons.math3.stat.descriptive.moment.SecondMoment)">copy</a></strong>(<a href="../../../../../../../org/apache/commons/math3/stat/descriptive/moment/SecondMoment.html" title="class in org.apache.commons.math3.stat.descriptive.moment">SecondMoment</a>&nbsp;source,
    <a href="../../../../../../../org/apache/commons/math3/stat/descriptive/moment/SecondMoment.html" title="class in org.apache.commons.math3.stat.descriptive.moment">SecondMoment</a>&nbsp;dest)</code>
<div class="block">Copies source to dest.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>long</code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/stat/descriptive/moment/SecondMoment.html#getN()">getN</a></strong>()</code>
<div class="block">Returns the number of values that have been added.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>double</code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/stat/descriptive/moment/SecondMoment.html#getResult()">getResult</a></strong>()</code>
<div class="block">Returns the current value of the Statistic.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>void</code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/stat/descriptive/moment/SecondMoment.html#increment(double)">increment</a></strong>(double&nbsp;d)</code>
<div class="block">Updates the internal state of the statistic to reflect the addition of the new value.</div>
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<h3>Methods inherited from class&nbsp;org.apache.commons.math3.stat.descriptive.<a href="../../../../../../../org/apache/commons/math3/stat/descriptive/AbstractStorelessUnivariateStatistic.html" title="class in org.apache.commons.math3.stat.descriptive">AbstractStorelessUnivariateStatistic</a></h3>
<code><a href="../../../../../../../org/apache/commons/math3/stat/descriptive/AbstractStorelessUnivariateStatistic.html#equals(java.lang.Object)">equals</a>, <a href="../../../../../../../org/apache/commons/math3/stat/descriptive/AbstractStorelessUnivariateStatistic.html#evaluate(double[])">evaluate</a>, <a href="../../../../../../../org/apache/commons/math3/stat/descriptive/AbstractStorelessUnivariateStatistic.html#evaluate(double[],%20int,%20int)">evaluate</a>, <a href="../../../../../../../org/apache/commons/math3/stat/descriptive/AbstractStorelessUnivariateStatistic.html#hashCode()">hashCode</a>, <a href="../../../../../../../org/apache/commons/math3/stat/descriptive/AbstractStorelessUnivariateStatistic.html#incrementAll(double[])">incrementAll</a>, <a href="../../../../../../../org/apache/commons/math3/stat/descriptive/AbstractStorelessUnivariateStatistic.html#incrementAll(double[],%20int,%20int)">incrementAll</a></code></li>
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<h3>Methods inherited from class&nbsp;org.apache.commons.math3.stat.descriptive.<a href="../../../../../../../org/apache/commons/math3/stat/descriptive/AbstractUnivariateStatistic.html" title="class in org.apache.commons.math3.stat.descriptive">AbstractUnivariateStatistic</a></h3>
<code><a href="../../../../../../../org/apache/commons/math3/stat/descriptive/AbstractUnivariateStatistic.html#evaluate()">evaluate</a>, <a href="../../../../../../../org/apache/commons/math3/stat/descriptive/AbstractUnivariateStatistic.html#getData()">getData</a>, <a href="../../../../../../../org/apache/commons/math3/stat/descriptive/AbstractUnivariateStatistic.html#getDataRef()">getDataRef</a>, <a href="../../../../../../../org/apache/commons/math3/stat/descriptive/AbstractUnivariateStatistic.html#setData(double[])">setData</a>, <a href="../../../../../../../org/apache/commons/math3/stat/descriptive/AbstractUnivariateStatistic.html#setData(double[],%20int,%20int)">setData</a>, <a href="../../../../../../../org/apache/commons/math3/stat/descriptive/AbstractUnivariateStatistic.html#test(double[],%20double[],%20int,%20int)">test</a>, <a href="../../../../../../../org/apache/commons/math3/stat/descriptive/AbstractUnivariateStatistic.html#test(double[],%20double[],%20int,%20int,%20boolean)">test</a>, <a href="../../../../../../../org/apache/commons/math3/stat/descriptive/AbstractUnivariateStatistic.html#test(double[],%20int,%20int)">test</a>, <a href="../../../../../../../org/apache/commons/math3/stat/descriptive/AbstractUnivariateStatistic.html#test(double[],%20int,%20int,%20boolean)">test</a></code></li>
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<h3>Methods inherited from class&nbsp;java.lang.<a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a></h3>
<code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#clone()" title="class or interface in java.lang">clone</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#finalize()" title="class or interface in java.lang">finalize</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#getClass()" title="class or interface in java.lang">getClass</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#notify()" title="class or interface in java.lang">notify</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#notifyAll()" title="class or interface in java.lang">notifyAll</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#toString()" title="class or interface in java.lang">toString</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait()" title="class or interface in java.lang">wait</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait(long)" title="class or interface in java.lang">wait</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait(long,%20int)" title="class or interface in java.lang">wait</a></code></li>
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<h3>Field Detail</h3>
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<h4>m2</h4>
<pre>protected&nbsp;double m2</pre>
<div class="block">second moment of values that have been added</div>
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<h4>n</h4>
<pre>protected&nbsp;long n</pre>
<div class="block">Count of values that have been added</div>
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<h4>m1</h4>
<pre>protected&nbsp;double m1</pre>
<div class="block">First moment of values that have been added</div>
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<h4>dev</h4>
<pre>protected&nbsp;double dev</pre>
<div class="block">Deviation of most recently added value from previous first moment.
 Retained to prevent repeated computation in higher order moments.</div>
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<h4>nDev</h4>
<pre>protected&nbsp;double nDev</pre>
<div class="block">Deviation of most recently added value from previous first moment,
 normalized by previous sample size.  Retained to prevent repeated
 computation in higher order moments</div>
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<h3>Constructor Detail</h3>
<a name="SecondMoment()">
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<h4>SecondMoment</h4>
<pre>public&nbsp;SecondMoment()</pre>
<div class="block">Create a SecondMoment instance</div>
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<h4>SecondMoment</h4>
<pre>public&nbsp;SecondMoment(<a href="../../../../../../../org/apache/commons/math3/stat/descriptive/moment/SecondMoment.html" title="class in org.apache.commons.math3.stat.descriptive.moment">SecondMoment</a>&nbsp;original)
             throws <a href="../../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></pre>
<div class="block">Copy constructor, creates a new <code>SecondMoment</code> identical
 to the <code>original</code></div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>original</code> - the <code>SecondMoment</code> instance to copy</dd>
<dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code> - if original is null</dd></dl>
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<h3>Method Detail</h3>
<a name="increment(double)">
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<h4>increment</h4>
<pre>public&nbsp;void&nbsp;increment(double&nbsp;d)</pre>
<div class="block">Updates the internal state of the statistic to reflect the addition of the new value.</div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../../org/apache/commons/math3/stat/descriptive/StorelessUnivariateStatistic.html#increment(double)">increment</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../../org/apache/commons/math3/stat/descriptive/StorelessUnivariateStatistic.html" title="interface in org.apache.commons.math3.stat.descriptive">StorelessUnivariateStatistic</a></code></dd>
<dt><span class="strong">Parameters:</span></dt><dd><code>d</code> - the new value.</dd></dl>
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<a name="clear()">
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<h4>clear</h4>
<pre>public&nbsp;void&nbsp;clear()</pre>
<div class="block">Clears the internal state of the Statistic</div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../../org/apache/commons/math3/stat/descriptive/StorelessUnivariateStatistic.html#clear()">clear</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../../org/apache/commons/math3/stat/descriptive/StorelessUnivariateStatistic.html" title="interface in org.apache.commons.math3.stat.descriptive">StorelessUnivariateStatistic</a></code></dd>
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<h4>getResult</h4>
<pre>public&nbsp;double&nbsp;getResult()</pre>
<div class="block">Returns the current value of the Statistic.</div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../../org/apache/commons/math3/stat/descriptive/StorelessUnivariateStatistic.html#getResult()">getResult</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../../org/apache/commons/math3/stat/descriptive/StorelessUnivariateStatistic.html" title="interface in org.apache.commons.math3.stat.descriptive">StorelessUnivariateStatistic</a></code></dd>
<dt><span class="strong">Returns:</span></dt><dd>value of the statistic, <code>Double.NaN</code> if it
 has been cleared or just instantiated.</dd></dl>
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<h4>copy</h4>
<pre>public&nbsp;<a href="../../../../../../../org/apache/commons/math3/stat/descriptive/moment/SecondMoment.html" title="class in org.apache.commons.math3.stat.descriptive.moment">SecondMoment</a>&nbsp;copy()</pre>
<div class="block">Returns a copy of the statistic with the same internal state.</div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../../org/apache/commons/math3/stat/descriptive/StorelessUnivariateStatistic.html#copy()">copy</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../../org/apache/commons/math3/stat/descriptive/StorelessUnivariateStatistic.html" title="interface in org.apache.commons.math3.stat.descriptive">StorelessUnivariateStatistic</a></code></dd>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../../org/apache/commons/math3/stat/descriptive/UnivariateStatistic.html#copy()">copy</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../../org/apache/commons/math3/stat/descriptive/UnivariateStatistic.html" title="interface in org.apache.commons.math3.stat.descriptive">UnivariateStatistic</a></code></dd>
<dt><span class="strong">Returns:</span></dt><dd>a copy of the statistic</dd></dl>
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<pre>public static&nbsp;void&nbsp;copy(<a href="../../../../../../../org/apache/commons/math3/stat/descriptive/moment/SecondMoment.html" title="class in org.apache.commons.math3.stat.descriptive.moment">SecondMoment</a>&nbsp;source,
        <a href="../../../../../../../org/apache/commons/math3/stat/descriptive/moment/SecondMoment.html" title="class in org.apache.commons.math3.stat.descriptive.moment">SecondMoment</a>&nbsp;dest)
                 throws <a href="../../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></pre>
<div class="block">Copies source to dest.
 <p>Neither source nor dest can be null.</p></div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>source</code> - SecondMoment to copy</dd><dd><code>dest</code> - SecondMoment to copy to</dd>
<dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code> - if either source or dest is null</dd></dl>
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<h4>getN</h4>
<pre>public&nbsp;long&nbsp;getN()</pre>
<div class="block">Returns the number of values that have been added.</div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../../org/apache/commons/math3/stat/descriptive/StorelessUnivariateStatistic.html#getN()">getN</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../../org/apache/commons/math3/stat/descriptive/StorelessUnivariateStatistic.html" title="interface in org.apache.commons.math3.stat.descriptive">StorelessUnivariateStatistic</a></code></dd>
<dt><span class="strong">Returns:</span></dt><dd>the number of values.</dd></dl>
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<pre>public static&nbsp;void&nbsp;copy(org.apache.commons.math3.stat.descriptive.moment.FirstMoment&nbsp;source,
        org.apache.commons.math3.stat.descriptive.moment.FirstMoment&nbsp;dest)
                 throws <a href="../../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></pre>
<div class="block">Copies source to dest.
 <p>Neither source nor dest can be null.</p></div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>source</code> - FirstMoment to copy</dd><dd><code>dest</code> - FirstMoment to copy to</dd>
<dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code> - if either source or dest is null</dd></dl>
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